Consider points on the Earth's surface as sketched in the figurebelow. Because of the Earth's rotation, these points undergouniform circular motion. Compute the centripetal acceleration atthe following points: equator and latitude 25 degrees

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Earth rotates on its axis once every 24 hours, so that objects onits surface execute uniform circular motion about the axis with aperiod of 24 hours. Consider only the effect of this rotation onthe person on the surface. (Ignore Earth's orbital motion about theSun.)
(a) What is the speed and what is the magnitude of the accelerationof a person standing on the equator?
v = m/s
a = m/s2

Express the magnitude of this acceleration as a percentage ofg.
%
(b) What is the direction of the acceleration vector?
away from the center of Earth
directly at the center of Earth

(c) What is the speed and what is the magnitude of the accelerationof a person standing on the surface at 35Â°N latitude?
v = m/s
a = m/s2

(d) What is the angle between the direction of the acceleration ofthe person at 35Â°N and the direction of the acceleration of theperson at the equator if both persons are at the samelongitude?

Earth rotates on its axis once every 24 hours, so that objects onits surface execute uniform circular motion about the axis with aperiod of 24 hours. Consider only the effect of this rotation onthe person on the surface. (Ignore Earth's orbital motion about theSun.)

(a) What is the speed and what is the magnitude of the accelerationof a person standing on the equator?
v = m/s
a = m/s2

b)Express the magnitude of this acceleration as a percentage ofg.
%

(c) What is the direction of the acceleration vector?

is it away from the center of Earth or directly at the center ofEarth

(d) What is the speed and what is the magnitude of the accelerationof a person standing on the surface at 35Â°N latitude?
v = m/s
a = m/s2

(e) What is the angle between the direction of the acceleration ofthe person at 35Â°N and the direction of the acceleration of theperson at the equator if both persons are at the samelongitude?

Assuming the Earth is spherical and recalling that latitudes range from 0 degrees at the equator to 90 degrees at the North Pole, how far apart, measured on the Earth's Surface are Dubuque, Iowa (42.50 degrees N latitude) and Guatemala City (14.62 degrees N Latitude)? The two cities lie on approximately the same longitude. Do not neglect the curvature of the Earth in determining this distance. the answer lies ??? 10^6m.

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Consider points on the Earth's surface as sketched in the figurebelow. Because of the Earth's rotation, these points undergouniform circular motion. Compute the centripetal acceleration atthe following points: equator and latitude 25 degrees

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Physics: Principles with Applications

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